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# 1. The graph of f (x)=cos(x) is transformed to a new function, g(x), by stretching it horizontally by a factor of 4 and shifting

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1. The graph of f (x)=cos(x)  is transformed to a new function, g(x), by stretching it horizontally by a factor of 4 and shifting it 1 unit up.

What is the equation of the new function g (x)?

g(x)=

2.

What is the amplitude of the function f(x)?

f(x)=3/4cos(3x)+4

3.

What is the equation of the midline for the function f(x)?

f(x)=1/2cos(x)+5

I really appreciate your help. Thanks so much.

Feb 17, 2018

#1
+15350
+1

1.     cos(x)     now stretch it horizontally by 4

cos (x/4)    Now shift it UP by '1'

cos(x/4) +1

2.   amplitude = 3/4

3. A cos (x ) wave with amplitude  1/2     has midline at 0       Now shift it UP by 5....the midline now shifts up by 5

midline is at 5     SO:     y=5

Feb 17, 2018

#1
+15350
+1

1.     cos(x)     now stretch it horizontally by 4

cos (x/4)    Now shift it UP by '1'

cos(x/4) +1

2.   amplitude = 3/4

3. A cos (x ) wave with amplitude  1/2     has midline at 0       Now shift it UP by 5....the midline now shifts up by 5

midline is at 5     SO:     y=5

ElectricPavlov Feb 17, 2018